Permanence and stability in non-autonomous predator-prey Lotka-Volterra systems with feedback controls
نویسندگان
چکیده
The main purpose of this article is considering whether or not the feedback controls have an influence on a non-autonomous predator–prey Lotka–Volterra type system. General criteria on permanence are established, which is described by an integral form and independent of some feedback controls. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the global stability of anypositive solution to the model. © 2009 Elsevier Ltd. All rights reserved.
منابع مشابه
The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations
Some scientists are interesting to study in area of harvested ecological modelling. The harvested population dynamics is more realistic than other ecological models. In the present paper, some of the Lotka-Volterra predator-prey models have been considered. In the said models, existing species are harvested by constant or variable growth rates. The behavior of their solutions has been analyzed ...
متن کاملPermanence of a Discrete Predator-Prey Systems with Beddington-DeAngelis Functional Response and Feedback Controls
Recommended by Leonid Berezansky We propose a discrete predator-prey systems with Beddington-DeAngelis functional response and feedback controls. By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.
متن کاملPermanence and Global Stability for a Non-Autonomous Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes with Delays
In this paper, a nonautonomous predator-prey system based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with delayed effect is investigated. The general criteria of integrable form on the permanence are established. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for global stability of any positive soluti...
متن کاملThe Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model
Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey models in which two ecologically inte...
متن کاملPermanence and Asymptotically Stable Complete Trajectories for Nonautonomous Lotka-Volterra Models with Diffusion
Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis or prey-predator behaviour involving different interacting species in a fixed habitat. Much of the work on these models has been within the framework of infinite-dimensional dynamical systems, but this has frequently been extended to allow explicit time dependence, generally ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 58 شماره
صفحات -
تاریخ انتشار 2009